(- (j0 (+ x 1.0)) (j0 x))

Average Error: 30.1 → 30.1

Time: 2.5s

Precision: binary64

Math

\[j_0\left(x + 1\right) - j_0\left(x\right)\]

↓

\[j_0\left(x + 1\right) - j_0\left(x\right)\]

Error

Bits error versus x

Derivation

1. Initial program 30.1

   \[j_0\left(x + 1\right) - j_0\left(x\right)\]

2. Final simplification 30.1

   \[\leadsto j_0\left(x + 1\right) - j_0\left(x\right)\]

Reproduce

herbie shell --seed 2020153 
(FPCore (x)
  :name "(- (j0 (+ x 1.0)) (j0 x))"
  :precision binary64
  (- (j0 (+ x 1.0)) (j0 x)))